round, go back to Cldr.Math module for more information.
Round a number to an arbitrary precision using one of several rounding algorithms.
Rounding algorithms are based on the definitions given in IEEE 754, but also include 2 additional options (effectively the complementary versions):
placesis an integer number of places to round to
modeis the rounding mode to be applied. The default is
:down- Round towards 0 (truncate), eg 10.9 rounds to 10.0
:up- Round away from 0, eg 10.1 rounds to 11.0. (Non IEEE algorithm)
:ceiling- Round toward +∞ - Also known as rounding up or ceiling
:floor- Round toward -∞ - Also known as rounding down or floor
Round to nearest:
:half_even- Round to nearest value, but in a tiebreak, round towards the nearest value with an even (zero) least significant bit, which occurs 50% of the time. This is the default for IEEE binary floating-point and the recommended value for decimal.
:half_up- Round to nearest value, but in a tiebreak, round away from 0. This is the default algorithm for Erlang's Kernel.round/2
:half_down- Round to nearest value, but in a tiebreak, round towards 0 (Non IEEE algorithm)
:half_upthen the result is the same as